The Sot6P, actually, was the 1st Jinchuriki. He sealed the most powerful of all, the 10 tail beast within himself. Upon his death, he created 1-9 tailed beasts. So each of them have/had certain amounts of chakra from the Sot6P. My theory is that each had an incremental amount according to number of tails. I think that the reason that Naruto resembles the Sot6P in Deva mode, is because the 9tails has the most of his chakra and the ten tails. Afterall, just imagine how powerful the 10T was..... all were split from this beast. And, the Sot6P was able to control/seal it away. WOW! Anyway, even portions of the chakras (Sage & 10T) are extremely powerful.....
Oh man, this just popped in my head. Naruto, only was able to get a portion of the NTF chakra. I'm betting he was able to split the Sot6P chakra away, while the NTF keeps the 10T chakra intact.
So, back to the original question of whether Naruto gained the power the saga of the six paths. I say, YES, but only a portion.
